NO

1 decompositions
 #0 -----------
   1: 0(1(2(3(4(5(1(x))))))) -> 1(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(x)))))))))))))))))))
   2: 0(1(2(3(4(5(1(x))))))) -> 1(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(0(1(2(3(4(5(x)))))))))))))))))))))))))

unjoinable peak
    1(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(_y4)))))))))))))))))))
*<- 0(1(2(3(4(5(1(_y4))))))) ->*
    1(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(0(1(2(3(4(5(_y4)))))))))))))))))))))))))